Question

The equation below represents Function A and the graph represents Function B:

Answer 1

The slope of the equation is 2, found in the "2x" part. It is positive since there is no negative sign to indicate otherwise. The slope on the graph is also positive since positive slopes run on the coordinate plane from the lower left to the upper right. So the choice d above is out of the running as the answer. We need to find the slope of B by looking at the graph to properly answer the question. The line goes through the point (0, 3) and the point (-1, -1). We can either use a slope triangle to count how many units up we are going to get from one point to the other (4) and then over (1) to get a slope of 4/1 which is 4, or we could use the slope formula to get the same answer. But it's not necessary when you have a graph to use the formula. The slope of B is 4. It looks like, then, that choice a is the one we want, since the slope of B is twice the slope of A.